Phys. Rev. 121, 942–949 (1961)Analytic Properties of Single-Particle Propagators for Many-Fermion SystemsReceived 1 October 1960; published in the issue dated February 1961 Certain general properties of single-particle propagators for a system of interacting fermions are derived. In addition, the properties of the proper self-energy part Gk(ζ) which were used in previous work on the ground-state energy and on the Fermi surface are established. In particular, the fact that to all orders of perturbation theory in the interaction, Im Gk(x-i0+) behaves like Ck(x-μ)2 (Ck>0) for x very near μ, is proved. © 1961 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRev.121.942
DOI:
10.1103/PhysRev.121.942
PACS:
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